Answer:
The answer is explained below
Step-by-step explanation:
Given that The volume of air inside a rubber ball with radius r can be found using the function V(r) = 
, this means that the volume of the air inside the rubber ball is a function of the radius of the rubber ball, that is as the radius of the rubber ball changes, also the volume of the ball changes.
As seen from the function, the radius is directly proportional to the volume of the ball, if the radius increases, the volume also increases.
is equal to the volume of the ball when the radius of the ball is 
. Therefore:
Answer:
There is no significant difference between the two averages at 5% level
Step-by-step explanation:
Given that a a college student is interested in testing whether business majors or liberal arts majors are better at trivia.
The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89
Thus he has done a hypothesis testing for comparison of two means of different subjects. n =30
Since which is better is not claimed we use two tailed test here
We find that p value 
our alpha
Since p >alpha, we find that there is no significant difference between the averages of these two groups and null hypothesis is accepted
For this equation, you need only 2 red roses and 3 pink daisies to make 1 boutique.
So, just multiply 3 * 2 and 3 * 3.
Which is 6 and 9, then add the two together = 15.
Hope this helps!!
Answer:
x = 3.1 %
Step-by-step explanation:
Let x be the slope the track.
Given:
Distance between station A and B = 270 ft
Track rise = 
We need to find the slope of the railway track between station A an B.
Solution:
The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
We know that slope of the railway track is equal to gradient of the tracks.
So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.
x = 3.1 %
So x = 3.1 % less than the maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
Therefore, x = 3.1 % meets the rapid-transit rail standards.
